The factorization of generalized Nevanlinna functions and the invariant subspace property

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dc.contributor.authorWietsma, Hendrik Luit
dc.contributor.departmentfi=Ei tutkimusalustaa|en=No platform|-
dc.contributor.facultyfi=Tekniikan ja innovaatiojohtamisen yksikkö|en=School of Technology and Innovations|-
dc.contributor.organizationfi=Vaasan yliopisto|en=University of Vaasa|
dc.date.accessioned2020-01-20T13:55:45Z
dc.date.accessioned2025-06-25T12:48:20Z
dc.date.available2021-01-01T01:00:20Z
dc.date.issued2019-01-01
dc.description.abstractThe well-known invariant subspace property of selfadjoint relations (multi-valued operators) in Pontryagin spaces is shown to be equivalent to the factorization property of (scalar) generalized Nevanlinna functions. This connection is established by a new realization for generalized Nevanlinna functions explicitly reflecting this connection. Combining this result with the new function-theoretic proof for the factorization property of generalized Nevanlinna functions contained in Wietsma (2018) immediately yields a new proof for the invariant subspace property of selfadjoint relations in Pontryagin spaces.-
dc.description.reviewstatusfi=vertaisarvioitu|en=peerReviewed|-
dc.embargo.lift2021-01-01
dc.embargo.terms2021-01-01
dc.format.bitstreamtrue
dc.format.contentfi=kokoteksti|en=fulltext|-
dc.format.extent13-
dc.format.pagerange26-38-
dc.identifier.olddbid11202
dc.identifier.oldhandle10024/10329
dc.identifier.urihttps://osuva.uwasa.fi/handle/11111/946
dc.identifier.urnURN:NBN:fi-fe202001202751-
dc.language.isoeng-
dc.publisherElsevier-
dc.relation.doi10.1016/j.indag.2018.08.002-
dc.relation.ispartofjournalIndagationes mathematicae-
dc.relation.issn1872-6100-
dc.relation.issn0019-3577-
dc.relation.issue1-
dc.relation.urlhttps://doi.org/10.1016/j.indag.2018.08.002-
dc.relation.volume30-
dc.rightsCC BY-NC-ND 4.0-
dc.source.identifierWOS: 000456641900003-
dc.source.identifierScopus: 85053318124-
dc.source.identifierhttps://osuva.uwasa.fi/handle/10024/10329
dc.subjectgeneralized Nevanlinna functions-
dc.subjectselfadjoint (multi-valued) operators-
dc.subjectinvariant subspaces-
dc.subject(minimal) realizations-
dc.subject.olddisciplineMatematiikka-
dc.titleThe factorization of generalized Nevanlinna functions and the invariant subspace property-
dc.type.okmfi=A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä|en=A1 Peer-reviewed original journal article|sv=A1 Originalartikel i en vetenskaplig tidskrift|-
dc.type.publicationarticle-
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